Exam 30: Nuclear Energy and Elementary Particles: Part A

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A radioactive material initially is observed to have an activity of 1000 decays/sec.If nine hours later it is observed to have an activity of 125 decays/s,what is its half-life?

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C

What is the energy released for the reaction where the products are 0.0051 u less than the reactants? (1 u = 931.5 MeV/c2)

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C

Calculate the binding energy per nucleon of the Calculate the binding energy per nucleon of the  Nucleus,given that the mass of this nucleus is 3.016029 u.(m<sub>p</sub> = 1.007276 u,m<sub>n</sub> = 1.008665,and 1 u = 931.5 MeV/c<sup>2</sup>) Nucleus,given that the mass of this nucleus is 3.016029 u.(mp = 1.007276 u,mn = 1.008665,and 1 u = 931.5 MeV/c2)Calculate the binding energy per nucleon of the  Nucleus,given that the mass of this nucleus is 3.016029 u.(m<sub>p</sub> = 1.007276 u,m<sub>n</sub> = 1.008665,and 1 u = 931.5 MeV/c<sup>2</sup>)

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What energy must be added or given off in a reaction where a helium atom is separated into two hydrogen atoms and two neutrons? (Atomic masses for each: hydrogen,1.007825 u;neutron,1.008665 u;helium,4.002602 u;also,1 u = 931.5 MeV/c2. )

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The isotope 64Zn has a nuclear radius of 4.8 × 10−15 m.Approximately what is the nuclear radius of the isotope 125Te?

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Approximately how many radioactive atoms are present in a tritium sample with an activity of 0.6 × 10−6 Ci and a half-life of 12.3 years? (1 Ci = 3.7 × 1010 decays/s)

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An alpha particle (mass = 6.68 × 10−27 kg)is emitted from a radioactive nucleus with an energy of 6.22 MeV.How fast is the alpha particle moving in m/s? (1 MeV = 1.6 × 10−13 J)

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1010 Bq = ______ Ci?

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Tritium (3H)has a half-life of 12.3 years and releases 0.0186 MeV energy per decay.What is the rate at which energy is released for a 3.0-gram sample of tritium? (NA = 6.02 × 1023 mol-1,1 year = 3.16 × 107 s,1 MeV = 1.6 × 10-13 J,and mt = 3.01605 u)

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What is the energy released (or gained signified by the minus sign)value of the reaction What is the energy released (or gained signified by the minus sign)value of the reaction   ? The mass of the alpha particle is 4.002602 u,of the nitrogen is 14.003074 u,of the oxygen is 15.994915 u,and of the hydrogen is 2.014102 u.(1 u = 931.5 MeV/c<sup>2</sup>) ? The mass of the alpha particle is 4.002602 u,of the nitrogen is 14.003074 u,of the oxygen is 15.994915 u,and of the hydrogen is 2.014102 u.(1 u = 931.5 MeV/c2)

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The relationship The relationship   ,where A is the mass number of a nucleus and r is it radius,implies which of the following about nuclei? ,where A is the mass number of a nucleus and r is it radius,implies which of the following about nuclei?

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If there are 146 neutrons in 238U,how many neutrons are found in the nucleus of 233U?

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The isotope 238U,which starts one of the natural radioactive series,decays first by alpha decay followed by two negative beta decays.At this point,what is the resulting isotope?

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Tritium is radioactive with a half-life of 12.33 years decaying into 3He with low-energy electron emission.If we have a sample of 2.35 × 1019 tritium atoms,what is its activity in decays/second? (1 year = 3.16 × 107 s)

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The half-life of 19N is 0.42 s.What is the decay constant for this isotope?

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Which of the following methods of decay does not result in an element different from that of the original parent nucleus?

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In the reaction In the reaction   ,what are the mass number and the atomic number of the product designated by X? ,what are the mass number and the atomic number of the product designated by X?

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A deuteron is captured by an oxygen-16 atom which in turn emits a proton.What is the element and mass number of the product isotope?

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Approximately how many half-life periods must elapse if the activity of a radioactive isotope sample is to be reduced to 0.03 of the original value?

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Certain stars at the end of their lives are thought to collapse,combining their protons and electrons together to form a neutron star.Such a star could be thought of as a giant atomic nucleus.If a star of mass equal to M = 4.00 × 1030 kg collapsed into neutrons (mn = 1.67 × 10−27 kg),what would be the radius of such a star? (Hint: r = r0A1/3,where r0 = 1.20 × 10−15 m. )

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